SOLUTION: Rewrite the expression as a sum of difference of logarithms or multiples of logarithms. Please show work: log base n { 4√(3x^5/z^9) }

Algebra.Com
Question 961278: Rewrite the expression as a sum of difference of logarithms or multiples of logarithms. Please show work:
log base n { 4√(3x^5/z^9) }

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Rewrite the expression as a sum of difference of logarithms or multiples of logarithms. Please show work:
log base n { 4√(3x^5/z^9) }
-----
logn[4] + logn[(3x^5)^(1/2)]/[z^(9/2)]
-----
= logn(4) + logn(3x^(5/2)) - logn[z^(9/2)]
------
Cheers,
Stan H.
---------------

RELATED QUESTIONS

log(base)5{x^9y^7/7} (rewrite the expression as a sum or difference of logarithms or... (answered by stanbon)
Assuming all variables are positive, use properties of logarithms to write the expression (answered by Alan3354)
Assuming all variables are positive, use properties of logarithms to write the expression (answered by tommyt3rd)
How do I rewrite the expression as a sum or difference of logarithms or multiples of... (answered by lwsshak3)
log base a (ax^4) rewrite as sum, difference and product of logarithms and... (answered by lwsshak3)
Rewrite the expression as a sum or difference or multiple of logarithms(expand). Log... (answered by jim_thompson5910)
Use properties of logarithms to write each expression as a sum or difference of multiples (answered by stanbon)
Write as a sum or difference of multiples of logarithms. Evaluate logarithms where... (answered by MathLover1,greenestamps)
Hi, Can you help me with this math problem? 12.) Rewrite the expression as a... (answered by solver91311)